عنوان

Thermodynamics of one-dimensional solvable models /

(Number (ISBN

0521551439

(Number (ISBN

9780521551434

Number

b739976

Title Proper

Thermodynamics of one-dimensional solvable models /

General Material Designation

[Book]

First Statement of Responsibility

Minoru Takahashi.

Place of Publication, Distribution, etc.

New York, NY :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

1999.

Specific Material Designation and Extent of Item

xiii, 252 pages :

Other Physical Details

illustrations ;

Dimensions

26 cm

Text of Note

Includes bibliographical references (pages 246-249) and index.

Text of Note

pt. 1. Thermodynamics of non-interacting systems and ground states of interacting systems -- 1. Free energy and correlation functions of the XY model -- 2. Systems with a delta-function potential -- 3. The isotropic Heisenberg model -- 4. The XXZ model -- 5. XYZ and eight-vertex models -- 6. The Hubbard model -- pt. 2. Finite temperature integral equations for un-nested systems -- 7. Repulsive delta-function bosons -- 8. Thermodynamics of the XXX chain -- 9. Thermodynamics of the XXZ model -- 10. Thermodynamics of the XYZ model -- 11. Low-temperature thermodynamics -- pt. 3. Finite temperature integral equations for nested systems -- 12. S = 1/2 fermions with repulsive potential in the continuum -- 13. S = 1/2 fermions with an attractive potential -- 14. Thermodynamics of the Hubbard model -- pt. 4. The quantum transfer matrix and recent developments -- 15. The transfer matrix and correlation length -- 16. The spin 1/2 XXZ model in a magnetic field -- 17. The XYZ model with no magnetic field -- 18. Recent developments and related topics -- App. A. The Young tableau and the theorem of Lieb and Mattis -- App. B. The number of string solutions -- App. C. The commuting transfer matrix and spectral parameter -- App. D. The matrix Q(v) -- App. E. Special functions.

0

Text of Note

"This is a book about an important class of exactly solvable models in physics." "The subject area is the Bethe-ansatz approach for a number of one-dimensional models, and the setting up of equations within this approach to determine the thermodynamics of these systems. It is a topic that crosses the boundaries between condensed matter physics, mathematics and field theory. The derivation and application of thermodynamic Bethe-ansatz equations for one-dimensional models are explained in detail. This technique is indispensable for physicists studying the low-temperature properties of one-dimensional substances." "This book, written by one of the top physicists in this field, and the originator of much of the work in the field, will be of great interest to theoretical condensed matter physicists."--Jacket.

Terms of Availability

£40.00 : Formerly CIP

Bethe-ansatz technique.

Mathematical physics.

Statistical thermodynamics.

Bethe, Ansatz de.

Physique mathématique.

Thermodynamique statistique.

Bethe-ansatz technique.

Bethe-ansatz technique.

Bethe-ansatz, technique de.

Condensed matter.

Física matemática.

Matematisk fysikk.

Mathematical physics.

Mathematical physics.

Mathematische fysica.

Physique mathématique.

Statistical thermodynamics.

Statistical thermodynamics.

Statistische mechanica.

Statistisk termodynamikk.

Thermodynamica.

Thermodynamique statistique.

Number

53:51

Number

536.758

Number

Edition

Class number

Book number

Class number

System Code

Takahashi, Minoru,1944-

Date of Transaction

20201204005644.0

Electronic name

[Book]

Y